This chapter examines some selected methods of projecting changes in extreme weather and climate statistics. Indices of extreme temperature and precipitation provide measures of moderately rare weather events that are straightforward to calculate. Drought indices provide measures of both agricultural and hydrological drought that are especially suitable for constructing multi-model ensemble projections of future change. Extreme value statistical theories are surveyed and provide methodologies for projecting the changes in frequency and severity of very rare temperature and precipitation events.